The extension of the method of dimensionality reduction to layered elastic media. (English) Zbl 07776849
Summary: The method of dimensionality reduction (MDR) has been extended to the axisymmetric unilateral contact problem for a layered elastic medium so that the case of continuously inhomogeneous elastic foundation is covered as well. The corresponding MDR formalism has been developed for a circular contact area. Both the non-adhesive contact and the JKR-type adhesive contact are considered. The developed theory is verified by means of two special cases, and new results, in particular, have been derived for the case of a functionally graded solid with an exponential law of inhomogeneity.
{© 2017 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim}
{© 2017 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim}
MSC:
| 74Mxx | Special kinds of problems in solid mechanics |
| 74Axx | Generalities, axiomatics, foundations of continuum mechanics of solids |
| 74Bxx | Elastic materials |
Keywords:
contact problem; unilateral contact; self-similar contact; method of dimensionality reductionReferences:
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